Answer:
Numerator = 2(b^2+a^2) or equivalently 2b^2+2a^2
Denominator = (b+a)^2*(b-a), or equivalently b^3+ab^2-a^2b0-a^3
Step-by-step explanation:
Let
S = 2b/(b+a)^2 + 2a/(b^2-a^2) factor denominator
= 2b/(b+a)^2 + 2a/((b+a)(b-a)) factor denominators
= 1/(b+a) ( 2b/(b+a) + 2a/(b-a)) find common denominator
= 1/(b+a) ((2b*(b-a) + 2a*(b+a))/((b+a)(b-a)) expand
= 1/(b+a)(2b^2-2ab+2ab+2a^2)/((b+a)(b-a)) simplify & factor
= 2/(b+a)(b^2+a^2)/((b+a)(b-a)) simplify & rearrange
= 2(b^2+a^2)/((b+a)^2(b-a))
Numerator = 2(b^2+a^2) or equivalently 2b^2+2a^2
Denominator = (b+a)^2*(b-a), or equivalently b^3+ab^2-a^2b0-a^3
Answer:
You are now 38 m below base camp.
Step-by-step explanation:
Consider the provided information.
You start hiking at an elevation that is 80 meters below base camp.
Now your initial location is 80 m below base camp, that can be represents as: -80
Now you increase your elevation by 42.
So you go up by 42.
In other words, you get the equation -80+42 = -38.
Since a negative value is below the base camp, this means that you are now 38 m below base camp.
The value of 
is 
Explanation:
The function 
is given by
The function 
is given by
To determine the value of , let us first substitute the value of .
Thus, we get,
Now, substituting for 
in the function , we get,
Simplifying, the expression, we get,
Multiplying the term within the bracket, we have,
Thus, the value of is
Hence, the value of represents the total amount of money that Barrett earns for working x hours.
Answer:
x=4
Step-by-step explanation:
2x-3=5
Add 3 to both sides
2x=8
divide both sides by 2
x=4
